CBSE Class 12 Physics Electromagnetic Induction Advanced Problems

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1. Two parallel vertical metallic rails AB and CD are separated by 1 m. They are connected at the two ends by resistances R1 and R2 as shown in the figure. A horizontal metallic bar
L of mass 0.2 kg slides without friction, vertically down the rails under the action of gravity. There is a uniform horizontal magnetic field of 0.6 T perpendicular to the plane of the rails. It is observed that when the terminal velocity is attained, the power dissipated in R1 and R2 are 0.76 W and 1.2 W respectively. Find the terminal velocity of the bar L
and the values of R1 and R2 .

2. A circuit containing a two position switch S is shown in the figure.
(a) The switch S is in position 1. Find the potential difference (VA–VB) and the rate of production of joule heat in R1.
(b) If now the switch S is put in position 2 at t = 0, find
(i) steady current in R4 and
(ii) the time when the current in R4 is half the steady value. Also calculate the energy stored in the inductor L at that time.

3. A current i = 3.36 (1+2 t) × 10^–2 A increases at a steady rate in long straight wire. A small circular loop of radius 10–3 m has its plane parallel to the wire and is placed at a distance of 1 m from the wire. The resistance of the loop is 8.4 × 10^–4 Ω. Fine the magnitude and direction of induced current in the loop.

4. Two coaxial circular loops of radii 0.5 m and 5 × 10^–2 m are separated by a distance 0.5 m and carry currents 2A and 1A respectively. Calculate their mutual inductance. What is the force between the loops?

5. Two long straight parallel wires A and B are separated by 0.1 m distance and carry equal currents in opposite directions. A square loop of wire C of side 0.1 m lies in the plane of A and
B. A thin loop of wire C is kept parallel to both A and B at a distance of 0.1 m from the nearest wire. Calculate the emfinduced in the loop C while the current in A and B is increasing
at the same rate of 103 A s^–1. Also indicate the direction of  current in loop C

6. A coil A C D of radius R and number of turns n carries a current i ampere and is placed in the plane of paper. A small conducting ring P of radius r is placed at a distance y0 from
the centre and above the coil A C D. Calculate the induced e.m.f. produced in the ring when the ruing is allowed to fall freely. Express induced e.m.f. in terms of speed of the ring

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